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On the post-Newtonian approximation of the ECSK theory II
Authors:Mario A. Castagnino  Marcelo L. Levinas
Affiliation:(1) Instituto de Fisica de Rosario (CONICET-UNR), Avenida Pellegrini 250, 2000 Rosario, Argentina;(2) Instituto de Astronomia y Fisica del Espacio (CONICET), C.C.67, Sucursal 28, Buenos Aires, Argentina;(3) Departamento de Matematica, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Pabellon 1, Ciudad Universitaria, Buenos Aires, Argentina
Abstract:We complete the PNA program for the ECSK theory. We find the general post-Newtonian equations of motion for the source. The different components of the complete affine connection, the torsion, and the energy-momentum tensor, as well as the conservation theorems of the theory, are developed for the case of an ideal fluid with spin in order to find the post-Newtonian trajectories of test particles exterior to the sources distribution. The main results are compared with the corresponding ones of general relativity.Supported by a scholarship from the Consejo Nacional de Investigaciones Cientificas y Tecnicas (CONICET).
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